Finding the Third Proportional to 42,140 and 90,277

Step by Step Solution

1. Step 1: Write the proportion equation
   42,140 : 90,277 = 90,277 : x
2. Step 2: Convert to fraction form
   42,140/90,277 = 90,277/x
3. Step 3: Cross multiply
   42,140x = 90,277 × 90,277
4. Step 4: Simplify right side
   42,140x = 8,149,936,729
5. Step 5: Solve for x
   x = 8,149,936,729/42,140
6. Step 6: Final answer
   x = 193,401.44